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Finding the Fourth Proportional to 35,709.84, 53,572.23 and 13,522.71

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Solution

The fourth proportional to 35,709.84, 53,572.23 and 13,522.71 is: 20,286.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,709.84 : 53,572.23 = 13,522.71 : x
  2. Step 2: Convert to fraction form
    35,709.84/53,572.23 = 13,522.71/x
  3. Step 3: Cross multiply
    35,709.84x = 53,572.23 × 13,522.71
  4. Step 4: Simplify right side
    35,709.84x = 724,441,730.34
  5. Step 5: Solve for x
    x = 724,441,730.34/35,709.84
  6. Step 6: Final answer
    x = 20,286.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.